iven the following equation of a circle in general form, find the equation in standard form by completing the square. 4x² + 8x + 4y² + 32y + 52 = 0 rovide your answer below:

Q: In this question and the one that follows, you will solve a quadratic by completing the square. Find…

A: The quadratic equation is given by x2+6x-27 = 0 To determine: The equation that results from…

Q: Use Heron's Formula to find the area of the triangle with side lengths a = 8.1, b = 8, c = 8.6.…

A:

Q: If tan 0 0( the value of the tangent is positive), then the terminal side of lies in which quadrant?…

A:

Q: 3. Your grandparents deposited $10,000 into an account when you born. This account has earned an…

A: ⇒fx=aerx⇒fx=Amount at time x⇒a=Initial amount⇒r=rate of interest⇒x=time in years

Q: 14. What is the amplitude of the following function? ist 6+ 5+ 4+ 3+ نها 2 1 -2+ 2 co et

A: The graph of the function is To determine: the amplitude of the function.

Q: Find all solutions to the following triangle. Round your answer to one decimal place. If either…

A:

Q: Use a graphing utility to approximate the solutions (to three decimal places) of the equation in the…

A: Please see the answer of the first question below as per the guidelines of Bartleby.

Q: For the following triangle, solve for B. (Enter your answers as a comma-separated A = 60°, b = 28 m,…

A: A=60°b=28 ma=25 m

Q: Use the sum and difference identities to rewrite the following expression as a trigonometric…

A:

Q: Question 5 Sketch a graph of the polar equation = sin(40)

A: To sketch the graph of the polar equation, r=sin4θ.

Q: If a point has polar coordinates r = -5 and 0 = Select the correct answer below: 5 5√3 0 (-1, 51³) 2…

A: If a point has polar coordinates r=-5 and θ=4π3, then to determine the  Cartesian coordinates of the…

Q: Use a half angle identity to find the exact value of the following expression. if cos x = -4/5 and…

A: Half angle identity cosx = 1 - 2sin2x22sin2x2 = 1 - cosxsin2x2 = 1 - cosx2sinx2 = ( 1 - cosx2 )

Q: 1. Which of the following points do not lie on the unit circle? (-1,0) -1,−1 1,1 3 1 2 '2

A: according to bartleby guide line we do only first part of multiple questions.therefore please…

Q: Given the following triangle with BC B AB BD= 30° 45° 15 Find the Lengths AB and BD (round your…

A: Given the following triangle with BC=15. To find the lengths of AB and BD.

Q: Derivatives of Inverse Trigonometric Functions 27. (a) Give three different domain intervals of…

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Q: Convert each pair of rectangular coordinates to polar coordinates. 9. (-3,0) 8. (√3,-1)

A:

Q: 37. Mean Value Theorem Consider the graph of the function f(x)=-x² +5. (a) Find the equation of the…

A: Consider the graph of the function fx=-x2+5. (a) To find the equation of the secant line joining the…

Q: Solve the equation on the interval [0,2). √√3 2 cos (20) = What are the solutions to cos (20) = √√3…

A:

Q: Question 21 Use derivatives to find the indicated absolute extremum as well as all values of x where…

A: given, f(x)=x3-3x2; on [0,4]

Q: If 0 = 1/3, find the value of each expression. sin(20) X 4 sin(0)

A: Givenθ = π3Values may be used sin( π3 ) = 32cos( π3 ) = 12

Q: The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find…

A:

Q: Find the unit vector in the same direction as v = (5,-6). Select the correct answer below: 5 0 61 ㅇ…

A: We are required to find: Unit vector in the direction of v→=5,-6

Q: Using trig. identities, find the maximum of y = sinx + cosx  (in the first quadrant) and the…

A: Given: y=sinx+cosx We are required to: Find the maximum value of y in the first quadrant and the…

Q: If vector r = ❬5, 11❭ and s = ❬9, –8❭ then which is r – s?  a r – s = ❬–14, 3❭  b r – s = ❬–4, 19❭…

A: r=5,11 and s=9,-8

Q: Vector v is shown in the graph. -4 -3 -2 -1 3 2 1 0 -1 -3 V 1 2 3 4 Which are the magnitude and…

A: Graph

Q: For the following vectors, (a) find the dot product vw; (b) find the angle between v and w; (c)…

A: v=5i+3j, w= 3i-5j We have to find v.w,angle between v and w, and relation between v and w

Q: 5. Abdallah owns a plot of land, near the river Nile, in the form of a quadrilateral ABCD. The…

A: Given dimensions are:AB=40BC=115CD=60AD=84∠BAD=90°

Q: Find the equation of a parabola with the following information. 1) vertex at (4, 3) and focus at (4,…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Convert -1, 5T 2 into rectangular coordinates.

A:

Q: b = (-7,1) and 2 = (-4,-2). What is c + b in component form? Enter your answer by filling in the…

A: A vector has both magnitude and direction. If we have two vectors in component form then we can find…

Q: Find the standard form of the ellipse given below in general form. Select the correct answer below:…

A:

Q: Find the exact values of the six trigonometric ratios of the angle in the triangle. sin (0) cos(0)…

A:

Q: Find the integral. 6x (x+6)4 dx

A: Integral

Q: verify the identit. write the property used from step to step tan(y)sin(y) = sin(y)-cos2(y)sin(y) /…

A:

Q: Given v=i+j and w=i-j (a) find the dot product v. w; (b) find the angle between v and w; (c) state…

A: we know that  i.i=j.j=1  and  i.j=j.i=0v.w=v.w cos(θ)where θ is angle between v and wgiven v=i+j…

Q: Question 15 Find the derivative. f(x) = (5x - 3)(x + 4) O f(x) - 3.33x¹/2 -1.5x-1/2, 20…

A:

Q: Use the suggested substitution to write the expression as a trigonometric expression. Simplify your…

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Q: Question 4 Given the formula v=√√/32 fd, solve for d when f = 0.5 and v=70. Submit your answer to…

A:

Q: A ship headed due east is moving through the water at a constant speed of 12 mph. However, the true…

A:

Q: Given u = -5i - 7j and v= -9i - 4j, find u - v. Select the correct answer below: O-4i + 3j O-14i-11j…

A: To find out u→-v→

Q: Find the derivative of the function. y=x² In x² O 2x(1 + In x²) O 2x + In x² © 2x²(1 - ln x²) * 02².

A: We have to find the derivative of the function

Q: Which of the following represents vector w = ❬–39, 16❭ in linear form?  a w = 16i – 39j  b w =…

A:

Q: Convert the given Cartesian equation into a polar equation. Select the correct answer below: 3sin 0…

A:

Q: A triangle has sides a = 5.6, b = 2.3, and included angle C = 93° (opposite side c). Find the angle…

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Q: A triangle has an area of 23 in2 , and two of the sides of the triangle have lengths 9 in. and 6 in.…

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Q: A lifeguard has 120 metres of rope for a buoy line. They want to set up the largest possible…

A:

Q: A triangle has sides a = 3.7, b = 5.4, and c = 5.3. Find the angle *B (opposite side b) in degrees.…

A:

Q: □ 5. Which of the following are equivalent to sin 31°cos 10° +cos31°sin10°? Osin41° O cos41° O…

A: Using  sin⁡Acos⁡B+cos⁡Asin⁡B=sin⁡(A+B) ..........(1) here  A=31∘  and  B=10∘

Q: What is the unit vector in the direction of ù = 〈−1, 5〉? Select the correct answer below: ㅇ 26 26 26…

A: Consider the vector  v=<-1,5>

Q: 9) 27* = 9x-2

A: Our Aim is to solve the following equation given below:-27x=9x-2 -(i)